Questions tagged [differential-games]
Differential Game Theory studies conflict in dynamical systems described by differential equations.
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questions with no upvoted or accepted answers
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Pursuit-evasion game with n pursuers and one evader
Assume $n$ pursuers ($P_i$) at the vertices of an $n$ sided regular polygon with
the evader ($E$) at the centre. For what all $n$ can be the evader be caught?
Pursuers and evader have same speed
...
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System of quadratic autonomous ODEs - convexity of the solution curve
Crossposted on MathOverflow
Problem:
For a given parameter $a>0$, consider the following autonomous system of ODEs for $(x,y,z): \mathbb R_+\to [0,1)^3$:
\begin{align*}
\dot{x}_t &= (1-x_t) (...
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Game Theory Reccomendation, Mean Field Theory
I'm about to do a sort of reading course with a mathematics professor wherein I read and teach him about Game Theory. He claims not to know Game Theory. After that, we aim to read about Mean Field ...
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Zero-sum differential game
We consider a zero sum differnetial game.
Let $x \in (0, M] \subset \mathbb R_{++}$ denote the state and $(u,v) \in [0,x]$ the control of player 1 and 2 respectively with $u + v \leq x$.
Denote the ...
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Do hybrid games exist?
I'm new to game theory. So far, I know that we have games with finite strategy sets and games with continuous strategy sets. I was wondering if there are any games in which some players have finite ...
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Question about viscosity solutions to Hamilton-Jacobi-Isaacs equation。
Recently，I am studying differential game, especially two person zero sum differential game. And I am quite confused that why only the value functions defined in terms of non-anticipating strategies(...
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Maximizing a function with binary indicators
I am an econ undergrad trying to understand how to maximize this payoff function, which includes binary components. I want to solve this equation using backwards induction, so I want to maximize the ...
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Lion and Rabbit in a Cage — references
I am looking for references to a problem with the following approximate statement:
There is a lion and a rabbit in cage $C$. At the initial time they are at locations $I_l$ and $I_r$, they have ...
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Bayesian Stackelberg game
Can anybody provide me a little example of bayesian stackelberg game with the solution.
I know how to solve Stackelberg game using backward induction but have no idea about bayesian.
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Nash Equilibrium in Normal game as a result of learning in Stochastic game
Lets have a Cournot oligopoly model. With two competitors, there is one Nash equilibrium. The thought experiment that can lead us to this result is for example the Tatonnement process, where there are ...
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